Finding the Fourth Proportional to 1,531,293.62, 2,296,765.31 and 409,450.10
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Solution
The fourth proportional to 1,531,293.62, 2,296,765.31 and 409,450.10 is: 614,128.32
Step by Step Solution
- Step 1: Write the proportion equation
1,531,293.62 : 2,296,765.31 = 409,450.10 : x - Step 2: Convert to fraction form
1,531,293.62/2,296,765.31 = 409,450.10/x - Step 3: Cross multiply
1,531,293.62x = 2,296,765.31 × 409,450.10 - Step 4: Simplify right side
1,531,293.62x = 940,410,772,324.95 - Step 5: Solve for x
x = 940,410,772,324.95/1,531,293.62 - Step 6: Final answer
x = 614,128.32
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.